# The Galois action and cohomology of a relative homology group of Fermat curves

@article{Davis2018TheGA, title={The Galois action and cohomology of a relative homology group of Fermat curves}, author={Rachel Davis and Rachel J. Pries and Vesna Stojanoska and Kirsten Wickelgren}, journal={Journal of Algebra}, year={2018} }

## 5 Citations

The Galois action on the lower central series of the fundamental group of the Fermat curve

- Mathematics
- 2018

Information about the absolute Galois group $G_K$ of a number field $K$ is encoded in how it acts on the \'etale fundamental group $\pi$ of a curve $X$ defined over $K$. In the case that…

An \'etale realization which does not exist

- Mathematics
- 2017

For a global field, local field, or finite field $k$ with infinite Galois group, we show that there can not exist a functor from the Morel--Voevodsky $\mathbb{A}^1$-homotopy category of schemes over…

Galois module structure of the units modulo $$p^m$$ of cyclic extensions of degree $$p^n$$

- Mathematicsmanuscripta mathematica
- 2022

Let p be prime, and n,m ∈ N. When K/F is a cyclic extension of degree p, we determine the Z/pZ[Gal(K/F )]-module structure of K/K m . With at most one exception, each indecomposable summand is cyclic…

Galois module structure of square power classes for biquadratic extensions

- MathematicsCanadian Journal of Mathematics
- 2022

This paper marks the first time that the Galois module structure of power classes of a field has been fully determined when the modular representation theory allows for an infinite number of…

Cohomology groups of Fermat curves via ray class fields of cyclotomic fields

- MathematicsJournal of Algebra
- 2020

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